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A Discussion of Theoretical Models of Anomalous Diffusion of Vapors in Polymers

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Permeability of Plastic Films and Coatings

Part of the book series: Polymer Science and Technology ((PST,volume 6))

Abstract

The “anomalous” or “non-Fickian” diffusion of micromolecular vapors in homogeneous macromolecular substrates, a subject to which V. Stannett and his collaborators have eminently contributed, continues to develop both experimentally and theoretically. New experimental data have led to novel interesting theoretical concepts and insights. Nevertheless, orderly progress in this, like in any other, field also requires reassessment of the older models in the light of the more recent data, just as new theoretical treatments must pay due regard to older data. This task has been neglected to some extent, although it is admittedly hampered by the fact that most published data are not usually available in sufficient detail. However, present models of “non-Fickian” diffusion have not progressed much beyond qualitative or semiquantitative applications, so that their comparison at this level is quite useful.

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References

  1. H. Fujita, Fortschr. Hochpolymer Forsch., 3, 1 (1961).

    Article  CAS  Google Scholar 

  2. J. Crank, J. Polymer Sci., 11, 151 (1953).

    Article  CAS  Google Scholar 

  3. F.A. Long and D. Richman, J -Am. Chem. Soc., 82, 513 (1960).

    Article  CAS  Google Scholar 

  4. H.L. Frisch, J. Chem. Phys., 37, 2408 (1962).

    Article  CAS  Google Scholar 

  5. J.H. Petropoulos and P.P. Roussis, J. Chem. Phys., 47, 1491 (1967).

    Article  CAS  Google Scholar 

  6. E. Bagley and F.A. Long, J. Am. Chem. Soc., 77, 2172 (1955).

    Article  CAS  Google Scholar 

  7. A. Kishimoto and T. Kitahara, J. Polymer Sci., Al, 5, 2147 (1967).

    Article  CAS  Google Scholar 

  8. F.A. Long and R.J. Kokes, J. Am. Chem. Soc., 75, 2232 (1953).

    Article  CAS  Google Scholar 

  9. A.C. Newns, Trans. Faraday Soc., 52, 1534 (1956).

    Article  Google Scholar 

  10. T.K. Kwei, J. Polym. Sci., A2, 10, 1849 (1972).

    Google Scholar 

  11. A. Kishimoto, H. Fujita, H. Odani, M. Kurata and M. Tamura, J. Phys. Chem., 64, 594 (1960).

    Article  CAS  Google Scholar 

  12. H. Odani, S. Kida and M. Tamura, Bull. Chem. Soc. Japan, 39, 2378 (1966).

    Article  CAS  Google Scholar 

  13. M. Tamura, K. Yamada and H. Odani, Repts. Progr. Polymer Phys. Japan, 6, 163 (1963).

    Google Scholar 

  14. H.L. Frisch, J. Chem. Phys., 41, 3679 (1964).

    Article  CAS  Google Scholar 

  15. J.H. Petropoulos and P.P. Roussis, Chap. 19 in “Organic Solid State Chemistry”, Ed. G. Adler, Gordon and Breach, London, P. 343 (1969).

    Google Scholar 

  16. J.H. Petropoulos and P.P. Roussis, J. Polymer Sci., C, No 28, 243 (1969).

    Google Scholar 

  17. V. Stannett and J.L. Williams, J. Polymer Sci., C, No 10, 45 (1965).

    Article  Google Scholar 

  18. J.D. Wellons and V. Stannett, J. Polymer Sci., Al, 4, 593 (1966).

    Article  CAS  Google Scholar 

  19. J.D. Wellons, J.D. Williams and V. Stannett, J. Polymer Sci., Al, 5, 1341 (1967).

    Article  CAS  Google Scholar 

  20. H.B. Hopfenberg, F. Kimura, P.T. Rigney and V. Stannett, J. Polymer Sci., C, No 28, 243 (1969).

    Article  Google Scholar 

  21. P.P. Roussis, to be published.

    Google Scholar 

  22. P. Meares, J. Polymer Sci., 27, 405 (1958).

    Article  CAS  Google Scholar 

  23. P. Dreschel, J.L. Hoard and F.A. Long, J. Polymer Sci., 10, 241 (1953).

    Article  Google Scholar 

  24. T. Alfrey, Jr., E.F. Gurnee and W.O. Lloyd, J. Polymer Sci., C, No 12, 249 (1966).

    Article  Google Scholar 

  25. A.S. Michaels, H.J. Bixler and H.B. Hopfenberg, J. Appl. Polymer Sci., 12, 991 (1968).

    Article  CAS  Google Scholar 

  26. A. Peterlin, J. Polymer Sci., B, 3, 1083 (1965).

    Article  CAS  Google Scholar 

  27. A. Peterlin, Makromol. Chem., 124, 136 (1969).

    Article  CAS  Google Scholar 

  28. T.T. Wang, T.K. Kwei and H.L. Frisch, J. Polymer Sci., A2, 7, 2019 (1969).

    Google Scholar 

  29. T.K. Kwei and H.M. Zupko, J. Polymer Sci., A2, 7, 867 (1969).

    Google Scholar 

  30. H.B. Hopfenberg, R.H. Holley and V. Stannett, Polymer Eng. Sci., 9, 242 (1969).

    Article  CAS  Google Scholar 

  31. T.K. Kwei, T.T. Wang and H.M. Zupko, Macromolecules, 5, 645 (1972).

    Article  CAS  Google Scholar 

  32. R. Holley, H.B. Hopfenberg and V. Stannett, Polymer Eng. Sci., 10, 376 (1970).

    Article  CAS  Google Scholar 

  33. B. Rosen, J. Polymer Sci., 47, 19 (1960).

    Article  CAS  Google Scholar 

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© 1974 Plenum Press, New York

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Petropoulos, J.H., Roussis, P.P. (1974). A Discussion of Theoretical Models of Anomalous Diffusion of Vapors in Polymers. In: Hopfenberg, H.B. (eds) Permeability of Plastic Films and Coatings. Polymer Science and Technology, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2877-3_16

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  • DOI: https://doi.org/10.1007/978-1-4684-2877-3_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2879-7

  • Online ISBN: 978-1-4684-2877-3

  • eBook Packages: Springer Book Archive

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